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Simplifying -4(3t + -9) = -8(-8 + -1t) Reorder the terms: -4(-9 + 3t) = -8(-8 + -1t) (-9 * -4 + 3t * -4) = -8(-8 + -1t) (36 + -12t) = -8(-8 + -1t) 36 + -12t = (-8 * -8 + -1t * -8) 36 + -12t = (64 + 8t) Solving 36 + -12t = 64 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 36 + -12t + -8t = 64 + 8t + -8t Combine like terms: -12t + -8t = -20t 36 + -20t = 64 + 8t + -8t Combine like terms: 8t + -8t = 0 36 + -20t = 64 + 0 36 + -20t = 64 Add '-36' to each side of the equation. 36 + -36 + -20t = 64 + -36 Combine like terms: 36 + -36 = 0 0 + -20t = 64 + -36 -20t = 64 + -36 Combine like terms: 64 + -36 = 28 -20t = 28 Divide each side by '-20'. t = -1.4 Simplifying t = -1.4
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